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Mixture modeling, which considers the potential heterogeneity in data, is widely adopted for classification and clustering problems. Mixture models can be estimated using the Expectation-Maximization algorithm, which works with the complete…

统计方法学 · 统计学 2022-03-18 Shonosuke Sugasawa , Genya Kobayashi

Deep neural networks has been increasingly applied in fault diagnostics, where it uses historical data to capture systems behavior, bypassing the need for high-fidelity physical models. However, despite their competence in prediction tasks,…

机器学习 · 计算机科学 2025-09-24 Arman Mohammadi , Mattias Krysander , Daniel Jung , Erik Frisk

This work presents a novel technique that integrates the methodologies of machine learning and system identification to solve multiclass problems. Such an approach allows to extract and select sets of representative features with reduced…

机器学习 · 计算机科学 2021-06-09 P. H. O. Silva , A. S. Cerqueira , E. G. Nepomuceno

The problem of piecewise affine (PWA) regression and planning is of foundational importance to the study of online learning, control, and robotics, where it provides a theoretically and empirically tractable setting to study systems…

机器学习 · 统计学 2024-03-20 Adam Block , Max Simchowitz , Russ Tedrake

Several techniques were proposed to model the Piecewise linear (PWL) functions, including convex combination, incremental and multiple choice methods. Although the incremental method was proved to be very efficient, the attention of the…

最优化与控制 · 数学 2018-02-13 Mutaz Tuffaha , Jan Tommy Gravdahl

Nonlinear expressions are often approximated by piecewise affine (PWA) functions to simplify analysis or reduce computational costs. To reduce computational complexity, multivariate functions can be represented as compositions of functions…

系统与控制 · 电气工程与系统科学 2024-02-27 Jonah J. Glunt , Jacob A. Siefert , Andrew F. Thompson , Herschel C. Pangborn

Autonomous synthesis and characterization of inorganic materials requires the automatic and accurate analysis of X-ray diffraction spectra. For this task, we designed a probabilistic deep learning algorithm to identify complex multi-phase…

材料科学 · 物理学 2021-05-27 Nathan J. Szymanski , Christopher J. Bartel , Yan Zeng , Qingsong Tu , Gerbrand Ceder

We present a multiway fusion algorithm capable of directly processing uncertain pairwise affinities. In contrast to existing works that require initial pairwise associations, our MIXER algorithm improves accuracy by leveraging the…

计算机视觉与模式识别 · 计算机科学 2023-05-04 Parker C. Lusk , Kaveh Fathian , Jonathan P. How

In this paper, we consider the problem of online identification of Switched AutoRegressive eXogenous (SARX) systems, where the goal is to estimate the parameters of each subsystem and identify the switching sequence as data are obtained in…

系统与控制 · 计算机科学 2018-05-04 Zhe Du , Necmiye Ozay , Laura Balzano

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

应用统计 · 统计学 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

In this paper we develop a method for learning nonlinear systems with multiple outputs and inputs. We begin by modelling the errors of a nominal predictor of the system using a latent variable framework. Then using the maximum likelihood…

机器学习 · 统计学 2018-05-28 Per Mattsson , Dave Zachariah , Petre Stoica

Physical dynamic networks most commonly consist of interconnections of physical components that can be described by diffusive couplings. These diffusive couplings imply that the cause-effect relationships in the interconnections are…

系统与控制 · 电气工程与系统科学 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

Equation discovery methods enable modelers to combine domain-specific knowledge and system identification to construct models most suitable for a selected modeling task. The method described and evaluated in this paper can be used as a…

机器学习 · 计算机科学 2019-07-02 Nikola Simidjievski , Ljupčo Todorovski , Juš Kocijan , Sašo Džeroski

The weighted ensemble (WE) method stands out as a widely used segment-based sampling technique renowned for its rigorous treatment of kinetics. The WE framework typically involves initially mapping the configuration space onto a…

计算物理 · 物理学 2024-11-19 Dedi Wang , Pratyush Tiwary

Piecewise affine functions are widely used to approximate nonlinear and discontinuous functions. However, most, if not all existing models only deal with fitting continuous functions. In this paper, we investigate the problem of fitting a…

最优化与控制 · 数学 2020-01-29 Ruobing Shen , Bo Tang , Leo Liberti , Claudia D'Ambrosio , Stéphane Canu

The development of coherent missing data models to account for nonmonotone missing at random (MAR) data by inverse probability weighting (IPW) remains to date largely unresolved. As a consequence, IPW has essentially been restricted for use…

统计方法学 · 统计学 2019-01-23 BaoLuo Sun , Eric J. Tchetgen Tchetgen

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

最优化与控制 · 数学 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

We introduce a real-time identification method for discrete-time state-dependent switching systems in both the input--output and state-space domains. In particular, we design a system of adaptive algorithms running in two timescales; a…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , Karl Henrik Johansson

Physics-informed neural networks (PINNs) have recently emerged as a prominent paradigm for solving partial differential equations (PDEs), yet their training strategies remain underexplored. While hard prioritization methods inspired by…

机器学习 · 计算机科学 2025-12-22 Zhaoqian Gao , Min Yanga

Inverse probability weighting (IPW) methods are commonly used to analyze non-ignorable missing data under the assumption of a logistic model for the missingness probability. However, solving IPW equations numerically may involve…

统计方法学 · 统计学 2025-07-24 Pengfei Li , Jing Qin , Yukun Liu